Cube-sum curve x^3 + y^3 = 13, obtained in my own bounded ascending scan of cube-free integers 1 <= A <= 2000. Its standard Mordell presentation Y^2 = X^3 - 432*13^2 = X^3 - 73008 was reduced by the change [u,r,s,t] = [2,0,0,4] to the global minimal model y^2 + y = x^3 - 1141. The Mordell point [52,260] transports under this change to [13,32] on the minimal model. This point was checked exactly and establishes rank at least 1. The rational torsion subgroup is trivial, the conductor is 4563, and the minimal discriminant is -562166163.
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